## Information on the *n* Queens problem

The problem is to find all ways of placing *n*
non-taking queens on a *n* by *n*
board.
A queen attacks all cells in its same row, column,
and either diagonal.
Below we show a solution on a standard 8 by 8 board.
The number of solutions for *n* = 1,2,...,15, is
1, 0, 0, 2, 10, 4, 40, 92, 352, 724, 2680, 14200, 73712,
365596, 2279184.
This is sequence
**A000170**(M1958) in
Neil J. Sloane's
database
of integer sequences.

The algorithm used is well-known.

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